Hilbert modular form data - 4.4.13676.1-2.1-a

Formats: - HTML - YAML - JSON - 2024-05-23T18:44:17.456565

• hmf_forms •

  Column	Type
  deg	smallint
  dimension	integer
  disc	bigint
  field_bad_primes	integer[]
  field_label	text
  is_CM	text
  is_base_change	text
  label	text
  label_nsuffix	smallint
  label_suffix	text
  level_bad_primes	integer[]
  level_ideal	text
  level_label	text
  level_norm	integer
  parallel_weight	smallint
  short_label	text
  weight	text

  
  {'deg': 4, 'dimension': 1, 'disc': 13676, 'field_bad_primes': [2, 13, 263], 'field_label': '4.4.13676.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '4.4.13676.1-2.1-a', 'label_nsuffix': 0, 'label_suffix': 'a', 'level_bad_primes': [2], 'level_ideal': '[2, 2, -w + 1]', 'level_label': '2.1', 'level_norm': 2, 'parallel_weight': 2, 'short_label': '2.1-a', 'weight': '[2, 2, 2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2, 2, -w + 1]', 1]], 'hecke_eigenvalues': [-1, 2, 4, 1, -2, -6, 5, -11, 7, 10, 8, -3, 4, -13, -14, 15, 8, 8, -7, -14, -16, -8, 6, 3, -6, 9, -18, -15, 16, -1, -17, -2, 15, 2, 1, 10, -12, -8, -4, 4, 8, 5, 13, 19, 1, 11, -10, -3, 10, -4, 9, -19, -29, 6, 11, -17, 11, 31, -24, 10, -22, -11, -7, -19, 34, 20, 28, 20, -28, -15, -31, -24, -20, -4, -4, 31, -5, 21, 32, -2, -27, 12, 12, 2, -2, 19, -29, 11, 7, 16, 2, 1, -38, 27, 27, 8, -2, 35, 22, -14, -22, 42, -12, 0, -11, -30, -22, 22, -18, 2, -40, 14, -12, 11, -29, -22, 16, -42, 25, -42, 36, 16, -50, -4, -11, -14, -2, -11, -8, -24, 30, 48, 20, -21, 13, 0, -4, 41, -2, -10, -2, -8, -36, 22, -12, 0, -26, -44, 8, 8, 37, 38, -52, -29, -52, 44, 28, -28, 40, -52, -22], 'hecke_polynomial': 'x', 'label': '4.4.13676.1-2.1-a'}
• hmf_fields •

  Column	Type
  degree	smallint
  discriminant	bigint
  ideals	jsonb
  label	text
  narrow_class_no	smallint
  primes	jsonb

  
  {'degree': 4, 'discriminant': 13676, 'ideals': ['[1, 1, 1]', '[2, 2, -w + 1]', '[4, 2, w^3 - 5*w]', '[4, 2, -w^2 - w + 3]', '[5, 5, w^3 - 5*w + 1]', '[8, 2, w^3 - 6*w + 1]', '[8, 4, -w^3 + 5*w - 2]', '[10, 10, w + 1]', '[11, 11, -w^3 + 6*w - 2]', '[13, 13, -w^2 + 4]', '[16, 2, 2]', '[16, 4, w^2 - 3]', '[16, 4, w^3 + w^2 - 5*w - 2]', '[17, 17, 2*w^3 + w^2 - 10*w - 2]', '[20, 10, -w^2 - w + 5]', '[20, 10, -w^2 + 1]', '[22, 22, w^3 + w^2 - 4*w - 2]', '[25, 25, w^3 - 4*w + 2]', '[26, 26, -w^2 - w + 2]', '[32, 4, -w^3 + 4*w - 1]', '[32, 4, -2*w + 2]', '[32, 8, 2*w^3 + w^2 - 10*w - 3]', '[34, 34, -w^2 - w + 6]', '[37, 37, w^3 + w^2 - 6*w - 3]', '[37, 37, -w^3 + 6*w - 4]', '[40, 10, w^3 - 6*w + 5]', '[40, 20, w^3 + w^2 - 5*w - 5]', '[41, 41, -w^3 + 5*w - 5]', '[43, 43, w^3 - 4*w + 4]', '[43, 43, -2*w^3 + 11*w - 2]', '[44, 22, -w^3 - w^2 + 5*w - 1]', '[44, 22, -w^2 - w + 1]', '[47, 47, -2*w^3 - w^2 + 12*w]', '[47, 47, 2*w - 1]', '[50, 50, 2*w^3 + w^2 - 11*w]', '[52, 26, w^3 - 3*w + 2]', '[52, 26, w^3 + w^2 - 3*w - 2]', '[55, 55, w^2 + 2*w - 4]', '[61, 61, -w^3 + w^2 + 6*w - 5]', '[64, 4, 2*w^3 - 10*w]', '[64, 4, -2*w^2 - 2*w + 6]', '[64, 8, -w^3 + 7*w]', '[64, 8, -w^3 + w^2 + 7*w - 8]', '[65, 65, 3*w^3 + w^2 - 16*w + 1]', '[68, 34, -w^3 + w^2 + 5*w - 4]', '[68, 34, -w^2 - 2*w + 3]', '[71, 71, w^3 + w^2 - 4*w - 3]', '[71, 71, 2*w^3 + 2*w^2 - 9*w - 2]', '[74, 74, -2*w^3 - w^2 + 9*w]', '[74, 74, -w^3 - w^2 + 4*w - 2]', '[79, 79, w^3 + w^2 - 6*w - 5]', '[80, 10, 2*w^3 - 10*w + 2]', '[80, 20, -2*w^3 - w^2 + 10*w - 1]', '[80, 20, -3*w^3 - w^2 + 17*w]', '[81, 3, -3]', '[82, 82, w^2 + 3*w - 6]', '[83, 83, -3*w^3 - w^2 + 16*w + 3]', '[85, 85, 2*w^3 - 10*w + 7]', '[86, 86, -2*w^3 - w^2 + 11*w + 4]', '[86, 86, w^2 - w - 4]', '[88, 22, -w^3 + 2*w^2 + 6*w - 9]', '[88, 44, -3*w^3 - w^2 + 15*w + 1]', '[94, 94, 2*w^3 - 11*w + 5]', '[94, 94, -2*w^2 + 3*w - 1]', '[97, 97, w^3 + w^2 - 6*w + 1]', '[100, 50, w^3 + w^2 - 7*w - 2]', '[100, 50, -w^3 + 3*w + 2]', '[103, 103, -2*w^3 - 2*w^2 + 7*w - 2]', '[103, 103, -3*w^3 + 14*w - 12]', '[104, 26, 3*w^3 - 16*w + 5]', '[104, 52, -w^3 + 5*w + 2]', '[107, 107, -w^3 + 3*w + 3]', '[110, 110, -2*w^3 + 11*w - 1]', '[121, 121, 2*w^3 - 9*w + 6]', '[122, 122, -w^3 + w^2 + 4*w - 6]', '[125, 5, -2*w^3 - w^2 + 8*w - 2]', '[125, 125, -w + 4]', '[127, 127, w^3 - w^2 - 4*w + 1]', '[128, 4, 2*w^3 - 12*w + 2]', '[128, 8, w^3 + 2*w^2 - 2*w - 5]', '[128, 8, -2*w^3 + 10*w - 4]', '[128, 16, w^3 - w^2 - 7*w + 7]', '[130, 130, -w^3 - w^2 + 4*w + 4]', '[131, 131, 2*w^3 - 10*w + 3]', '[136, 34, w^3 + 2*w^2 - 4*w - 3]', '[136, 68, w^3 + w^2 - 5*w + 3]', '[137, 137, -5*w^3 - 2*w^2 + 26*w + 2]', '[137, 137, w^3 - 7*w + 1]', '[139, 139, -2*w^3 - w^2 + 8*w]', '[142, 142, -w^3 - w^2 + 6*w - 2]', '[142, 142, -2*w^3 - w^2 + 7*w]', '[143, 143, -2*w^3 - 2*w^2 + 12*w + 3]', '[148, 74, -w^3 + w^2 + 7*w - 6]', '[148, 74, 2*w^3 - w^2 - 10*w + 9]', '[148, 74, 2*w^3 + w^2 - 7*w + 1]', '[148, 74, 2*w^3 + w^2 - 12*w - 3]', '[149, 149, w^3 - 2*w^2 - 7*w + 9]', '[149, 149, -2*w^3 + 11*w]', '[151, 151, 2*w^2 + 2*w - 9]', '[151, 151, -5*w^3 - 2*w^2 + 27*w + 1]', '[151, 151, w^3 - 7*w + 3]', '[151, 151, 2*w^3 + 2*w^2 - 11*w - 8]', '[157, 157, w^3 - 7*w - 3]', '[158, 158, -w^3 + w^2 + 6*w - 4]', '[160, 20, 2*w + 2]', '[160, 20, w^3 - 4*w - 3]', '[160, 40, w^3 + w^2 - 3*w - 3]', '[162, 6, 3*w - 3]', '[164, 82, 5*w^2 + 5*w - 17]', '[164, 82, -w^3 + w^2 + 5*w - 3]', '[166, 166, 2*w^3 + 2*w^2 - 9*w - 5]', '[169, 13, -w^3 - 2*w^2 + 4*w + 8]', '[169, 13, 6*w^3 + 4*w^2 - 32*w - 11]', '[170, 170, 4*w^3 + w^2 - 21*w + 2]', '[172, 86, -3*w^3 - w^2 + 15*w]', '[172, 86, w^3 - 7*w + 2]', '[172, 86, w^3 + w^2 - 7*w + 2]', '[172, 86, -w^3 + 2*w^2 + 3*w - 4]', '[173, 173, w^3 + w^2 - 4*w - 7]', '[176, 22, -2*w^3 + 12*w - 4]', '[176, 44, 2*w^3 - w^2 - 10*w + 7]', '[176, 44, 4*w^3 + w^2 - 21*w + 1]', '[185, 185, -w^3 + 3*w - 3]', '[185, 185, 2*w^3 + 2*w^2 - 10*w - 5]', '[187, 187, -2*w^2 + w + 4]', '[188, 94, w^2 - w - 5]', '[188, 94, -w^2 - 2*w + 7]', '[188, 94, -2*w^3 - w^2 + 7*w - 3]', '[188, 94, w^3 + 2*w^2 - 9*w - 2]', '[191, 191, -3*w^3 + 14*w - 10]', '[193, 193, 2*w^3 - 12*w + 3]', '[194, 194, w^3 - w^2 - 2]', '[197, 197, w + 4]', '[197, 197, w^3 + 2*w^2 - 6*w - 6]', '[197, 197, 2*w^3 + w^2 - 10*w + 2]', '[197, 197, 2*w^2 - 3]', '[199, 199, w^3 + 2*w^2 - 4*w - 4]', '[200, 50, -w^3 - 2*w^2 + 4*w + 5]', '[200, 100, -w^3 + 5*w - 6]', '[205, 205, -2*w^3 + w^2 + 10*w - 8]', '[206, 206, 3*w^3 + w^2 - 18*w - 4]', '[206, 206, w^2 - w - 8]', '[208, 26, -2*w^2 + 8]', '[208, 52, w^3 + 2*w^2 - 3*w - 6]', '[208, 52, w^3 + w^2 - 5*w - 6]', '[214, 214, -w^3 + w^2 + 6*w - 10]', '[215, 215, -2*w^3 + 2*w^2 + 9*w - 10]', '[215, 215, 2*w^3 - 11*w + 6]', '[220, 110, -2*w^3 - w^2 + 9*w + 3]', '[220, 110, w^2 - 2*w - 3]', '[221, 221, 3*w^3 + 2*w^2 - 17*w - 5]', '[223, 223, -w^3 - 2*w^2 + 5*w + 7]', '[229, 229, 5*w^3 + 3*w^2 - 26*w - 5]', '[233, 233, 2*w + 3]', '[235, 235, 3*w - 2]', '[235, 235, w^3 + 2*w^2 - 7*w - 3]', '[241, 241, 2*w^3 + 2*w^2 - 10*w - 3]', '[242, 242, 3*w^3 + w^2 - 16*w + 2]', '[244, 122, 2*w^3 + w^2 - 10*w - 5]', '[244, 122, -3*w^3 + w^2 + 15*w - 16]', '[250, 10, w^3 + 3*w^2 - 4*w - 4]', '[250, 250, 2*w^3 + 2*w^2 - 9*w + 1]', '[251, 251, w^3 - 2*w^2 - 5*w + 7]', '[254, 254, w^3 - 3*w^2 + 2*w + 2]', '[256, 4, 4]', '[256, 8, 2*w^2 - 6]', '[256, 8, 2*w^3 + 2*w^2 - 10*w - 4]', '[256, 16, -2*w^3 - w^2 + 9*w + 5]', '[256, 16, -2*w^3 - 3*w^2 + 6*w + 5]', '[260, 130, w^3 + w^2 - 7*w + 3]', '[260, 130, -w^3 + w^2 + 5*w - 2]', '[262, 262, -2*w^2 + w + 5]', '[263, 263, 2*w^3 + w^2 - 12*w + 2]', '[269, 269, 2*w^3 + 3*w^2 - 14*w - 4]', '[271, 271, 3*w^3 + 2*w^2 - 15*w - 7]', '[272, 34, 4*w^3 + 2*w^2 - 20*w - 4]', '[272, 68, -w^3 - w^2 + w + 2]', '[272, 68, -w^3 - w^2 + 7*w + 3]', '[274, 274, -2*w^3 - 2*w^2 + 11*w + 3]', '[274, 274, -w^2 + w - 2]', '[275, 275, 2*w^2 - 7]', '[278, 278, w^3 + 3*w^2 - 6*w - 2]', '[281, 281, 2*w^2 + w - 4]', '[281, 281, w^2 - 8]', '[283, 283, -3*w^3 + 18*w - 2]', '[283, 283, -w^3 - w^2 + 4*w - 3]', '[283, 283, -w^3 + w^2 + 6*w - 3]', '[283, 283, w^3 + 2*w^2 - 5*w - 3]', '[284, 142, -3*w^3 - w^2 + 13*w - 6]', '[284, 142, -4*w^3 - w^2 + 20*w + 1]', '[284, 142, -5*w^3 - 3*w^2 + 27*w + 3]', '[284, 142, -5*w^3 - 5*w^2 + 19*w]', '[286, 286, w^2 - w - 6]', '[289, 289, -w^3 + w^2 + 4*w - 7]', '[293, 293, -4*w^3 + 19*w - 16]', '[296, 74, -w^3 + 6*w - 7]', '[296, 74, w^3 + 2*w^2 - 4*w - 9]', '[296, 148, 4*w^3 + w^2 - 22*w + 3]', '[296, 148, -w^3 + w^2 + 5*w - 1]', '[298, 298, w^2 - 3*w - 2]', '[298, 298, 2*w^3 - w^2 - 9*w + 10]', '[302, 302, 2*w^3 + w^2 - 9*w - 4]', '[302, 302, 4*w^3 + 3*w^2 - 21*w - 8]', '[302, 302, w^2 - 3*w + 4]', '[302, 302, -2*w^3 + w^2 + 11*w - 6]', '[305, 305, w^3 + 2*w^2 - 4*w - 10]', '[307, 307, -w^3 + 2*w^2 + 6*w - 8]', '[311, 311, 3*w^3 + 2*w^2 - 17*w - 9]', '[311, 311, w^3 + 2*w^2 - 6*w - 8]', '[313, 313, -4*w^3 - 2*w^2 + 17*w - 6]', '[314, 314, w^2 + 3*w - 2]', '[316, 158, -w^3 - w^2 + 3*w + 4]', '[316, 158, -w^3 + w^2 + 3*w - 5]', '[317, 317, 2*w^3 - 9*w + 2]', '[317, 317, 3*w^2 + 2*w - 10]', '[320, 20, -2*w^2 - 2*w + 10]', '[320, 20, -2*w^2 + 2]', '[320, 40, w^2 - w - 7]', '[320, 40, -w^3 - 2*w^2 + 7*w - 2]', '[324, 6, -3*w^3 + 15*w]', '[324, 6, 3*w^2 + 3*w - 9]', '[325, 325, w^3 - w^2 - 8*w + 9]', '[328, 82, -w^3 + 2*w^2 + 8*w - 9]', '[328, 164, 3*w^3 - w^2 - 15*w + 13]', '[331, 331, 5*w^3 + 4*w^2 - 26*w - 12]', '[332, 166, w^3 - w^2 - 7*w + 2]', '[332, 166, -2*w^3 - w^2 + 10*w - 3]', '[337, 337, 2*w^3 + w^2 - 8*w + 6]', '[338, 26, 2*w^3 - 11*w + 7]', '[338, 26, -4*w^3 + 21*w - 5]', '[340, 170, 2*w^3 + w^2 - 11*w - 5]', '[340, 170, -w^3 - 2*w^2 + 5*w + 6]', '[344, 86, w^3 + 2*w^2 - 6*w - 3]', '[344, 86, -w^3 + 2*w^2 + 8*w - 11]', '[344, 172, w^2 - 2*w + 3]', '[344, 172, -3*w^3 - 2*w^2 + 19*w]', '[346, 346, -w^3 - w^2 + 10*w - 6]', '[347, 347, 2*w^3 - 9*w + 4]', '[352, 44, -w^3 - 2*w^2 + 6*w + 5]', '[352, 44, 2*w^3 + 2*w^2 - 8*w - 4]', '[352, 88, w^3 - 3*w + 4]', '[353, 353, w^3 - 5*w - 3]', '[355, 355, -3*w^3 + 16*w - 2]', '[355, 355, -3*w^3 - w^2 + 18*w + 1]', '[359, 359, -w^3 + w + 3]', '[367, 367, -2*w^3 + 12*w - 7]', '[367, 367, 2*w^3 + 4*w^2 - 6*w - 7]', '[370, 370, 3*w^3 + w^2 - 16*w - 4]', '[370, 370, -2*w^3 + 9*w - 3]', '[374, 374, -3*w^3 - w^2 + 14*w + 4]', '[376, 94, -w^3 + 2*w^2 + 4*w - 5]', '[376, 94, w^3 - 6*w - 3]', '[376, 188, -4*w^3 - 3*w^2 + 22*w + 7]', '[376, 188, -w^3 - 2*w^2 + 5*w + 4]', '[379, 379, -w^3 - 2*w^2 + w + 3]', '[379, 379, -3*w^2 - 2*w + 12]', '[382, 382, -4*w^3 - w^2 + 21*w - 4]', '[386, 386, -w + 5]', '[388, 194, 2*w^3 + 3*w^2 - 14*w - 3]', '[388, 194, w^3 + 3*w^2 - 3*w - 6]', '[394, 394, -2*w^3 + 2*w^2 + 7*w - 5]', '[394, 394, -w^3 - w^2 + 2*w + 4]', '[394, 394, -2*w^3 + 2*w^2 + 3*w - 3]', '[394, 394, -w^2 - 3*w + 4]', '[395, 395, -w^3 + 3*w^2 + 6*w - 13]', '[397, 397, -2*w^3 - w^2 + 6*w + 2]', '[397, 397, -w^3 + 3*w - 7]', '[397, 397, -2*w^3 - 2*w^2 + 9*w + 6]', '[397, 397, w^3 + 2*w^2 - 5*w - 5]', '[398, 398, -2*w^3 + 7*w - 3]', '[400, 50, 2*w^3 - 8*w + 4]', '[400, 100, 3*w^3 + 2*w^2 - 17*w - 6]', '[400, 100, w^2 + 3*w - 3]', '[401, 401, 3*w^3 + 3*w^2 - 16*w - 13]', '[401, 401, w^3 + 2*w^2 - 6*w - 4]', '[405, 15, -3*w^3 + 15*w - 3]', '[407, 407, -w^3 - 2*w^2 + 2*w + 6]', '[407, 407, -w^3 - w^2 + 6*w + 7]', '[410, 410, -2*w^3 - w^2 + 7*w - 4]', '[412, 206, 2*w^3 + 3*w^2 - 9*w - 11]', '[412, 206, -w^3 + w^2 + 7*w - 1]', '[412, 206, 3*w^3 + w^2 - 15*w + 4]', '[412, 206, -w^3 + 2*w^2 + 7*w - 8]', '[415, 415, w^3 + 2*w^2 - 3*w + 1]', '[416, 52, -w^3 + 8*w - 5]', '[416, 52, -2*w^2 - 2*w + 4]', '[416, 104, -2*w^3 - w^2 + 10*w - 5]', '[425, 425, -w^3 + w^2 + 6*w - 1]', '[428, 214, 2*w^3 - w^2 - 9*w + 7]', '[428, 214, -w^3 + w^2 + 9*w - 11]', '[430, 430, -w^2 - 3*w + 8]', '[430, 430, -3*w^3 - w^2 + 18*w - 4]', '[431, 431, 3*w^3 + 2*w^2 - 14*w - 4]', '[431, 431, 2*w^3 + w^2 - 10*w + 4]', '[433, 433, -2*w^3 + 2*w^2 + 13*w - 12]', '[433, 433, -w^3 + 4*w^2 + 8*w - 18]', '[439, 439, 2*w^3 + 2*w^2 - 8*w + 3]', '[439, 439, -w^3 + 3*w^2 + 6*w - 11]', '[440, 110, -w^3 + 4*w - 7]', '[440, 220, -3*w^2 - 2*w + 11]', '[442, 442, -2*w^3 + w^2 + 9*w - 2]', '[443, 443, -7*w^3 - 2*w^2 + 39*w + 1]', '[446, 446, 2*w^3 - w^2 - 9*w + 6]', '[451, 451, 2*w^3 - 2*w^2 - 13*w + 14]', '[457, 457, w^3 + 2*w^2 - 3*w - 7]', '[458, 458, -3*w^3 - w^2 + 14*w]', '[461, 461, w^2 - 2*w - 4]', '[461, 461, 4*w^3 + 2*w^2 - 20*w - 5]', '[463, 463, 3*w^3 + 2*w^2 - 13*w - 3]', '[466, 466, -2*w^2 - w + 3]', '[467, 467, -3*w^3 + 15*w - 11]', '[467, 467, -4*w^3 + 18*w + 1]', '[470, 470, 2*w^2 + w - 1]', '[470, 470, -2*w^3 - 3*w^2 + 11*w + 12]', '[473, 473, 2*w^3 - 2*w^2 - 14*w + 17]', '[473, 473, 3*w + 2]', '[479, 479, 2*w^2 + 2*w - 11]', '[481, 481, -3*w^3 + 15*w - 7]', '[481, 481, 3*w^2 + 2*w - 8]', '[482, 482, -2*w^3 + 7*w - 1]', '[484, 242, -w^3 - w^2 + 3*w + 5]', '[484, 242, w^3 + w^2 - 7*w - 4]', '[485, 485, w^3 + 2*w^2 - 8*w - 4]', '[487, 487, -3*w^3 - 2*w^2 + 19*w + 1]', '[487, 487, 4*w^3 + 2*w^2 - 19*w]', '[488, 122, w^3 + 2*w^2 - 6*w - 11]', '[488, 244, -3*w^2 - 2*w + 15]', '[491, 491, 3*w^3 + 2*w^2 - 18*w]', '[499, 499, -w^3 + 3*w - 5]', '[499, 499, -6*w^3 - 2*w^2 + 31*w - 2]', '[500, 10, 2*w^3 + w^2 - 8*w - 3]', '[500, 10, 4*w^3 + 7*w^2 - 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7*w - 15]', '[1835, 1835, -w^3 + 2*w^2 + 9*w - 9]', '[1844, 922, -4*w^3 - 3*w^2 + 26*w + 1]', '[1844, 922, 3*w^2 + 5*w - 11]', '[1844, 922, -4*w^3 - w^2 + 19*w - 5]', '[1844, 922, w^3 - 2*w^2 - 9*w + 10]', '[1846, 1846, -4*w^3 - 2*w^2 + 17*w - 3]', '[1846, 1846, -7*w^3 - 7*w^2 + 28*w + 2]', '[1849, 43, -2*w^3 + 2*w^2 + 13*w - 20]', '[1849, 43, 2*w^3 - 6*w - 5]', '[1849, 1849, -7*w^3 + 41*w - 5]', '[1849, 1849, -w^3 + w^2 - 3]', '[1850, 1850, 2*w^3 + w^2 - 9*w - 8]', '[1850, 1850, -2*w^3 - 3*w^2 + 7*w - 2]', '[1852, 926, -6*w^3 - 5*w^2 + 23*w - 1]', '[1852, 926, -9*w^3 - 3*w^2 + 45*w + 5]', '[1859, 143, 3*w^3 - 10*w + 4]', '[1859, 143, 3*w^3 - 5*w^2 - 20*w + 35]', '[1861, 1861, -5*w^3 - 4*w^2 + 23*w + 1]', '[1864, 466, 5*w^3 + 4*w^2 - 20*w + 7]', '[1864, 932, -2*w^3 + w^2 + 8*w + 3]', '[1867, 1867, 7*w^3 + 4*w^2 - 36*w - 10]', '[1868, 934, w^3 + 3*w^2 - 5*w - 9]', '[1868, 934, -2*w^3 - w^2 + 11*w + 7]', '[1868, 934, 2*w^3 + w^2 - 7*w - 5]', '[1868, 934, w^3 - 2*w^2 - w + 6]', '[1870, 1870, -2*w^3 - w^2 + 5*w + 4]', '[1879, 1879, 4*w^3 + 3*w^2 - 18*w + 2]', '[1879, 1879, w^3 + w^2 - 7]', '[1880, 470, w^3 - 6*w - 5]', '[1880, 470, w^3 + 2*w - 7]', '[1880, 940, 3*w^3 + w^2 - 19*w + 3]', '[1880, 940, -w^3 - 3*w^2 + 5*w + 7]', '[1889, 1889, w^3 + w^2 - 8*w - 5]', '[1892, 946, -2*w^3 - 3*w^2 + 10*w + 7]', '[1892, 946, 2*w^3 + w^2 - 7*w - 9]', '[1892, 946, -8*w^3 - 5*w^2 + 43*w + 11]', '[1892, 946, 3*w^3 + 2*w^2 - 15*w - 10]', '[1894, 1894, -3*w^3 + w^2 + 14*w - 8]', '[1894, 1894, -3*w^3 - 3*w^2 + 14*w - 2]', '[1895, 1895, -2*w^3 - 3*w^2 + 10*w + 6]', '[1895, 1895, 4*w^3 - 2*w^2 - 24*w + 17]', '[1901, 1901, 11*w^3 + 6*w^2 - 58*w - 10]', '[1901, 1901, -3*w^3 + w^2 + 14*w - 9]', '[1903, 1903, 8*w^3 + w^2 - 46*w + 12]', '[1907, 1907, -4*w^3 - 4*w^2 + 19*w + 12]', '[1907, 1907, -6*w^3 - 2*w^2 + 27*w - 16]', '[1910, 1910, -2*w^3 + 3*w^2 + 15*w - 20]', '[1916, 958, -5*w^3 + 25*w - 4]', '[1916, 958, -6*w^3 + 3*w^2 + 31*w - 31]', '[1922, 62, w^3 - w^2 - 2*w + 6]', '[1922, 62, -2*w^3 + 3*w^2 + 3*w - 6]', '[1924, 962, -w^2 - 5*w + 7]', '[1924, 962, 5*w^3 + 3*w^2 - 25*w - 9]', '[1924, 962, -2*w^3 - 3*w^2 + 11*w + 5]', '[1924, 962, -w^2 + 2*w - 5]', '[1927, 1927, -2*w^3 + 14*w - 7]', '[1927, 1927, -6*w^3 - 3*w^2 + 34*w + 8]', '[1928, 482, -9*w^3 - 4*w^2 + 46*w + 3]', '[1928, 964, 3*w^3 - 19*w + 2]', '[1930, 1930, 4*w^3 - 23*w + 1]', '[1933, 1933, 3*w^3 + 6*w^2 - 9*w - 11]', '[1936, 242, 4*w^3 - 18*w + 12]', '[1936, 484, 3*w^2 + 5*w - 9]', '[1936, 484, 3*w^3 + 3*w^2 - 17*w - 13]', '[1937, 1937, 6*w^3 - 4*w^2 - 34*w + 35]', '[1937, 1937, -5*w^3 - 2*w^2 + 28*w - 2]', '[1940, 970, w^3 + 5*w^2 - 9*w - 3]', '[1940, 970, -w^3 + w^2 + 9*w - 8]', '[1942, 1942, w^3 + 3*w^2 - 6*w - 6]', '[1948, 974, w^2 - 3*w - 5]', '[1948, 974, -w^3 - w^2 + w + 7]', '[1948, 974, -5*w^3 - 7*w^2 + 17*w + 10]', '[1948, 974, -11*w^3 - 5*w^2 + 57*w + 9]', '[1951, 1951, 5*w^3 + 3*w^2 - 26*w - 1]', '[1952, 244, -2*w^3 + 2*w^2 + 8*w - 12]', '[1952, 244, -w^3 - 2*w^2 + 2*w + 9]', '[1952, 488, 7*w^3 + w^2 - 37*w + 5]', '[1963, 1963, 4*w^3 - 2*w^2 - 20*w + 13]', '[1963, 1963, 3*w^3 + 6*w^2 - 14*w - 28]', '[1963, 1963, w^3 - 2*w^2 - 6*w + 4]', '[1963, 1963, -10*w^3 - 2*w^2 + 54*w - 3]', '[1964, 982, -w^3 - 3*w^2 + 5*w + 8]', '[1964, 982, -w^3 + 7*w - 10]', '[1970, 1970, -w^3 - 3*w^2 + 6*w + 8]', '[1970, 1970, 2*w^3 + 2*w^2 - 3*w - 3]', '[1970, 1970, 5*w^3 + 3*w^2 - 22*w]', '[1970, 1970, 4*w^3 + 2*w^2 - 19*w - 7]', '[1973, 1973, w^3 + 2*w^2 - 8*w - 6]', '[1975, 1975, -4*w^3 - w^2 + 20*w - 8]', '[1982, 1982, -6*w^3 + 33*w - 7]', '[1985, 1985, 2*w^3 - 2*w^2 - 8*w + 1]', '[1985, 1985, -4*w^3 - w^2 + 24*w - 4]', '[1985, 1985, -w^3 + 6*w^2 + 9*w - 23]', '[1985, 1985, 2*w^3 - 13*w + 14]', '[1987, 1987, -4*w^3 + 2*w^2 + 23*w - 14]', '[1987, 1987, -8*w^3 + 44*w - 11]', '[1990, 1990, 4*w^3 + 4*w^2 - 15*w - 5]', '[1993, 1993, -w^3 + 2*w - 6]', '[1993, 1993, 3*w^3 - 13*w + 3]', '[1994, 1994, -2*w^3 - 4*w^2 + 7*w + 13]', '[1996, 998, -2*w^3 - w^2 + 3*w + 5]', '[1996, 998, -3*w^3 + 2*w^2 + 7*w - 6]', '[1996, 998, w^3 - w^2 - 9*w + 4]', '[1996, 998, -3*w^3 + 13*w - 6]', '[1999, 1999, 4*w^2 - 3*w - 6]', '[2000, 10, -4*w^3 - 2*w^2 + 16*w - 4]', '[2000, 20, -w^3 - 3*w^2 - w + 9]', '[2000, 20, -w^3 - 3*w^2 - w + 4]', '[2000, 250, -2*w + 8]', '[2000, 500, 2*w^3 + 3*w^2 - 11*w - 7]', '[2000, 500, -2*w^3 - w^2 + 6*w - 5]', '[2005, 2005, -4*w^3 - 2*w^2 + 25*w - 2]', '[2005, 2005, -3*w^3 + 5*w^2 + 20*w - 33]', '[2008, 502, w^3 - 2*w^2 - 4*w + 13]', '[2008, 1004, -w^3 + 3*w^2 + 9*w - 19]', '[2017, 2017, -6*w^3 - 4*w^2 + 34*w + 9]', '[2017, 2017, -6*w^3 - 2*w^2 + 27*w - 14]', '[2018, 2018, 5*w^3 + 3*w^2 - 24*w - 6]', '[2021, 2021, -3*w^3 + w^2 + 16*w - 5]', '[2021, 2021, 2*w^3 + 2*w^2 - 13*w - 6]', '[2021, 2021, 3*w^3 + 2*w^2 - 15*w + 3]', '[2021, 2021, w^3 + 4*w^2 - 2*w - 6]', '[2025, 75, -3*w^3 + 12*w - 6]', '[2032, 254, 2*w^3 - 2*w^2 - 8*w + 2]', '[2032, 508, -4*w^3 - 3*w^2 + 23*w + 1]', '[2032, 508, -w^3 - 3*w^2 + 11*w - 3]', '[2035, 2035, 2*w^3 - 2*w^2 - 11*w + 8]', '[2035, 2035, w^3 - 3*w^2 - 10*w + 19]', '[2039, 2039, -12*w^3 - 5*w^2 + 64*w + 4]', '[2041, 2041, 4*w^3 + 4*w^2 - 20*w - 11]', '[2048, 8, 4*w^3 - 24*w + 4]', '[2048, 16, 2*w^3 + 4*w^2 - 4*w - 10]', '[2048, 16, -4*w^3 + 20*w - 8]', '[2048, 32, 3*w^3 + 2*w^2 - 10*w + 5]', '[2048, 32, 2*w^3 - 2*w^2 - 14*w + 14]', '[2048, 64, -w^3 - 4*w^2 + 7*w + 4]', '[2050, 2050, -3*w^3 - w^2 + 16*w - 6]', '[2054, 2054, -4*w^3 + w^2 + 23*w - 16]', '[2057, 2057, -w^3 + 2*w^2 + 8*w - 4]', '[2060, 1030, -3*w^3 - 3*w^2 + 17*w + 12]', '[2060, 1030, w^3 + 3*w^2 - 3*w - 15]', '[2060, 1030, 3*w^3 + 7*w^2 - 7*w - 16]', '[2060, 1030, 6*w^3 + 3*w^2 - 30*w - 7]', '[2063, 2063, -4*w^3 + 21*w - 12]', '[2063, 2063, w^3 + 3*w^2 - 6*w - 7]', '[2066, 2066, -2*w^3 + 6*w^2 + 7*w - 17]', '[2066, 2066, 3*w^2 + 5*w - 10]', '[2068, 1034, -4*w^3 + w^2 + 24*w - 17]', '[2068, 1034, 5*w^3 - w^2 - 27*w + 10]', '[2068, 1034, -3*w^3 - w^2 + 7*w + 3]', '[2068, 1034, -2*w^3 - w^2 + 3*w - 1]', '[2069, 2069, 4*w^3 + 4*w^2 - 21*w - 12]', '[2074, 2074, -6*w^3 + 4*w^2 + 33*w - 31]', '[2075, 2075, 4*w^3 + w^2 - 18*w]', '[2080, 260, -2*w^3 - 2*w^2 + 8*w + 8]', '[2080, 260, 3*w^3 + 2*w^2 - 18*w - 7]', '[2080, 520, -w^3 + 2*w^2 + 3*w - 10]', '[2081, 2081, -7*w^3 - 4*w^2 + 37*w + 13]', '[2081, 2081, -3*w^3 - 2*w^2 + 16*w - 2]', '[2087, 2087, 4*w^2 + 4*w - 11]', '[2087, 2087, -w^3 + 4*w^2 + 6*w - 18]', '[2089, 2089, -8*w^3 + 45*w - 10]', '[2092, 1046, 7*w^3 - w^2 - 33*w + 28]', '[2092, 1046, 3*w^3 - w^2 - 13*w + 5]', '[2096, 262, 4*w^3 - 20*w + 6]', '[2096, 524, -2*w^3 + w^2 + 14*w - 11]', '[2096, 524, -5*w^3 - w^2 + 29*w - 2]', '[2098, 2098, -w^3 + 3*w^2 - 2*w - 4]', '[2098, 2098, -2*w^3 + 3*w^2 + 7*w - 6]', '[2099, 2099, -5*w^3 - 2*w^2 + 24*w]', '[2099, 2099, 5*w^3 + 2*w^2 - 24*w + 2]', '[2099, 2099, 10*w^3 + 5*w^2 - 52*w - 10]', '[2099, 2099, -2*w^3 + 2*w^2 + 13*w - 8]', '[2101, 2101, -4*w^3 - 2*w^2 + 17*w - 2]', '[2102, 2102, -4*w^3 + w^2 + 23*w - 8]', '[2102, 2102, -3*w^3 + 3*w^2 + 12*w - 8]', '[2104, 526, -7*w^3 - 4*w^2 + 36*w + 11]', '[2104, 1052, 2*w^3 + 3*w^2 - 12*w - 11]', '[2106, 78, 3*w^2 + 3*w - 6]', '[2113, 2113, -4*w^3 + 24*w - 9]', '[2113, 2113, 6*w^3 + 2*w^2 - 29*w - 6]', '[2123, 2123, 5*w^3 + 4*w^2 - 26*w - 16]', '[2125, 85, w^3 - 2*w^2 - 9*w + 1]', '[2125, 2125, 5*w^3 + 2*w^2 - 24*w - 6]', '[2126, 2126, -2*w^3 + 2*w^2 + 5*w - 7]', '[2126, 2126, -3*w^3 - w^2 + 16*w + 6]', '[2129, 2129, -2*w^3 + 2*w^2 + 14*w - 11]', '[2132, 1066, -3*w^3 - 5*w^2 + 7*w + 10]', '[2132, 1066, -5*w^3 - w^2 + 19*w - 11]', '[2134, 2134, -w^2 - 5*w + 2]', '[2138, 2138, -3*w^3 + 5*w^2 + 4*w - 6]', '[2140, 1070, -w^3 + w^2 + 3*w - 9]', '[2140, 1070, -w^2 - 3*w + 13]', '[2141, 2141, -5*w^3 + 25*w - 13]', '[2141, 2141, 5*w^3 - w^2 - 26*w + 11]', '[2141, 2141, -4*w^3 - 4*w^2 + 15*w - 4]', '[2141, 2141, -4*w^3 - 2*w^2 + 20*w - 3]', '[2143, 2143, 2*w^2 - w - 16]', '[2150, 2150, -2*w^3 - w^2 + 13*w - 8]', '[2150, 2150, 4*w^3 + w^2 - 19*w + 4]', '[2152, 538, w^3 - 2*w^2 + 4*w - 7]', '[2152, 1076, 6*w^3 + 3*w^2 - 36*w + 1]', '[2153, 2153, -w^3 + 3*w^2 + 6*w - 9]', '[2153, 2153, w^3 + 3*w^2 - 6*w - 15]', '[2155, 2155, -w^3 - 2*w^2 + 8*w - 6]', '[2155, 2155, -2*w^2 + 2*w + 9]', '[2158, 2158, 4*w^3 - 23*w - 1]', '[2159, 2159, -8*w^3 - 2*w^2 + 39*w + 4]', '[2164, 1082, -8*w^3 - 5*w^2 + 33*w - 11]', '[2164, 1082, -6*w^3 - 3*w^2 + 32*w + 1]', '[2165, 2165, -4*w^3 + 4*w^2 + 25*w - 28]', '[2165, 2165, w^3 + 5*w^2 - 4*w - 23]', '[2167, 2167, w^3 - 2*w^2 - 2*w + 8]', '[2167, 2167, 8*w^3 - 42*w + 9]', '[2167, 2167, 3*w^3 + 3*w^2 - 14*w - 11]', '[2167, 2167, -4*w^3 + 2*w^2 + 18*w - 19]', '[2168, 542, -w^3 + 4*w^2 + 6*w - 17]', '[2168, 1084, 5*w^3 + 6*w^2 - 33*w - 8]', '[2174, 2174, -6*w^3 - w^2 + 33*w]', '[2176, 68, 2*w^3 + 4*w^2 - 8*w - 6]', '[2176, 136, 2*w^3 + 2*w^2 - 10*w + 6]', '[2176, 136, w^3 + 2*w^2 - 2*w + 3]', '[2176, 272, -5*w^3 - 2*w^2 + 27*w - 2]', '[2182, 2182, w^3 + 3*w^2 - 2*w - 12]', '[2182, 2182, -3*w^2 - w + 4]', '[2186, 2186, 3*w^2 + 3*w - 16]', '[2186, 2186, -3*w^3 - w^2 + 18*w - 6]', '[2188, 1094, w^3 - 3*w^2 - 3*w + 4]', '[2188, 1094, -w^3 - 3*w^2 + 11*w - 5]', '[2189, 2189, 4*w^3 - 20*w + 7]', '[2192, 274, 10*w^3 + 4*w^2 - 52*w - 4]', '[2192, 274, -2*w^3 + 14*w - 2]', '[2192, 548, -2*w^3 - 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4*w - 4]', '[223, 223, -w^3 - 2*w^2 + 5*w + 7]', '[229, 229, 5*w^3 + 3*w^2 - 26*w - 5]', '[233, 233, 2*w + 3]', '[241, 241, 2*w^3 + 2*w^2 - 10*w - 3]', '[251, 251, w^3 - 2*w^2 - 5*w + 7]', '[263, 263, 2*w^3 + w^2 - 12*w + 2]', '[269, 269, 2*w^3 + 3*w^2 - 14*w - 4]', '[271, 271, 3*w^3 + 2*w^2 - 15*w - 7]', '[281, 281, 2*w^2 + w - 4]', '[281, 281, w^2 - 8]', '[283, 283, -3*w^3 + 18*w - 2]', '[283, 283, -w^3 - w^2 + 4*w - 3]', '[283, 283, -w^3 + w^2 + 6*w - 3]', '[283, 283, w^3 + 2*w^2 - 5*w - 3]', '[293, 293, -4*w^3 + 19*w - 16]', '[307, 307, -w^3 + 2*w^2 + 6*w - 8]', '[311, 311, 3*w^3 + 2*w^2 - 17*w - 9]', '[311, 311, w^3 + 2*w^2 - 6*w - 8]', '[313, 313, -4*w^3 - 2*w^2 + 17*w - 6]', '[317, 317, 2*w^3 - 9*w + 2]', '[317, 317, 3*w^2 + 2*w - 10]', '[331, 331, 5*w^3 + 4*w^2 - 26*w - 12]', '[337, 337, 2*w^3 + w^2 - 8*w + 6]', '[347, 347, 2*w^3 - 9*w + 4]', '[353, 353, w^3 - 5*w - 3]', '[359, 359, -w^3 + w + 3]', '[367, 367, -2*w^3 + 12*w - 7]', '[367, 367, 2*w^3 + 4*w^2 - 6*w - 7]', '[379, 379, -w^3 - 2*w^2 + w + 3]', '[379, 379, -3*w^2 - 2*w + 12]', '[397, 397, -2*w^3 - w^2 + 6*w + 2]', '[397, 397, -w^3 + 3*w - 7]', '[397, 397, -2*w^3 - 2*w^2 + 9*w + 6]', '[397, 397, w^3 + 2*w^2 - 5*w - 5]', '[401, 401, 3*w^3 + 3*w^2 - 16*w - 13]', '[401, 401, w^3 + 2*w^2 - 6*w - 4]', '[431, 431, 3*w^3 + 2*w^2 - 14*w - 4]', '[431, 431, 2*w^3 + w^2 - 10*w + 4]', '[433, 433, -2*w^3 + 2*w^2 + 13*w - 12]', '[433, 433, -w^3 + 4*w^2 + 8*w - 18]', '[439, 439, 2*w^3 + 2*w^2 - 8*w + 3]', '[439, 439, -w^3 + 3*w^2 + 6*w - 11]', '[443, 443, -7*w^3 - 2*w^2 + 39*w + 1]', '[457, 457, w^3 + 2*w^2 - 3*w - 7]', '[461, 461, w^2 - 2*w - 4]', '[461, 461, 4*w^3 + 2*w^2 - 20*w - 5]', '[463, 463, 3*w^3 + 2*w^2 - 13*w - 3]', '[467, 467, -3*w^3 + 15*w - 11]', '[467, 467, -4*w^3 + 18*w + 1]', '[479, 479, 2*w^2 + 2*w - 11]', '[487, 487, -3*w^3 - 2*w^2 + 19*w + 1]', '[487, 487, 4*w^3 + 2*w^2 - 19*w]', '[491, 491, 3*w^3 + 2*w^2 - 18*w]', '[499, 499, -w^3 + 3*w - 5]', '[499, 499, -6*w^3 - 2*w^2 + 31*w - 2]', '[523, 523, 2*w^2 + 3*w - 10]', '[541, 541, 2*w^3 + 3*w^2 - 8*w - 6]', '[547, 547, -3*w^3 - w^2 + 16*w - 3]', '[563, 563, -w^3 + 5*w - 7]', '[563, 563, 2*w^2 + w - 2]', '[571, 571, 3*w^3 + 2*w^2 - 12*w + 6]', '[577, 577, -2*w^3 + w^2 + 8*w - 6]', '[577, 577, -2*w^3 - 2*w^2 + 12*w + 11]', '[587, 587, -5*w^3 - w^2 + 26*w - 5]', '[593, 593, -w^3 + 8*w - 4]', '[599, 599, -w^3 + w^2 + 4*w - 9]', '[601, 601, 3*w^3 + w^2 - 14*w + 1]', '[607, 607, 2*w^2 + 2*w - 3]', '[607, 607, 4*w^3 - 24*w + 1]', '[613, 613, -3*w^3 - 3*w^2 + 16*w + 9]', '[617, 617, -2*w^3 + 13*w - 6]', '[619, 619, -4*w^3 + 20*w - 1]', '[631, 631, -5*w^3 - 2*w^2 + 29*w + 5]', '[643, 643, -w^3 - 2*w^2 + 6*w + 10]', '[647, 647, -5*w^3 - 4*w^2 + 20*w - 4]', '[647, 647, -3*w^3 - 3*w^2 + 18*w + 7]', '[653, 653, 4*w^3 - 20*w + 3]', '[653, 653, w^3 - 8*w + 2]', '[659, 659, -9*w^3 - 4*w^2 + 48*w + 4]', '[659, 659, -5*w^3 - 2*w^2 + 25*w - 1]', '[661, 661, 4*w^3 + 2*w^2 - 21*w]', '[673, 673, -3*w^3 + w^2 + 18*w - 9]', '[683, 683, 2*w^3 + 2*w^2 - 7*w - 4]', '[691, 691, -5*w^3 - 3*w^2 + 28*w + 7]', '[691, 691, 3*w^3 - 15*w + 5]', '[701, 701, -2*w^3 + 2*w^2 + 11*w - 10]', '[701, 701, -w^3 + 8*w - 10]', '[709, 709, -4*w^3 - w^2 + 20*w - 4]', '[709, 709, w^3 + 4*w^2 - w - 13]', '[719, 719, -2*w^3 + 12*w - 9]', '[739, 739, -6*w^3 - 4*w^2 + 29*w + 6]', '[739, 739, -w^3 + w^2 + 8*w - 7]', '[769, 769, -w^3 + w^2 + 8*w - 5]', '[769, 769, 3*w^3 - 2*w^2 - 15*w + 19]', '[773, 773, -4*w^3 + 22*w - 9]', '[797, 797, -2*w^3 + 13*w - 2]', '[827, 827, -w^3 + 6*w - 8]', '[827, 827, -4*w^2 - 3*w + 14]', '[839, 839, w^2 + 4*w - 6]', '[857, 857, 7*w^3 + 2*w^2 - 37*w + 1]', '[863, 863, 3*w^3 - 14*w + 2]', '[881, 881, -3*w^3 + 2*w^2 + 15*w - 13]', '[883, 883, 2*w^3 - w^2 - 10*w + 14]', '[887, 887, -5*w^3 - 4*w^2 + 25*w + 11]', '[887, 887, 3*w^3 - 14*w + 8]', '[907, 907, 4*w^3 - 20*w + 13]', '[907, 907, 2*w^2 + 4*w - 5]', '[907, 907, -3*w^3 + 18*w - 4]', '[907, 907, w - 6]', '[947, 947, 3*w^3 + 3*w^2 - 12*w - 5]', '[947, 947, 2*w^3 + 3*w^2 - 10*w - 10]', '[961, 31, 2*w^3 - w^2 - 12*w + 4]', '[961, 31, -w^3 + 2*w^2 + 5*w - 5]', '[971, 971, -4*w^3 - w^2 + 20*w - 2]', '[991, 991, -2*w^3 + 3*w^2 + 14*w - 18]', '[997, 997, 7*w^3 + 2*w^2 - 36*w + 6]']}
• nf_fields •

  Column	Type
  class_group	jsonb
  class_number	numeric
  cm	boolean
  coeffs	numeric[]
  conductor	numeric
  degree	smallint
  disc_abs	numeric
  disc_rad	numeric
  disc_sign	smallint
  embeddings_gen_imag	double precision[]
  embeddings_gen_real	double precision[]
  gal_is_abelian	boolean
  gal_is_cyclic	boolean
  gal_is_solvable	boolean
  galois_disc_exponents	numeric[]
  galois_label	text
  galt	integer
  grd	double precision
  index	integer
  inessentialp	integer[]
  is_galois	boolean
  is_minimal_sibling	boolean
  iso_number	smallint
  label	text
  local_algs	text[]
  minimal_sibling	numeric[]
  monogenic	smallint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	numeric
  subfield_mults	integer[]
  subfields	text[]
  torsion_order	smallint
  used_grh	boolean
  dirichlet_group	bigint[]
  frobs	jsonb
  res	jsonb
  source	text
  subfield_inclusions	smallint[]
  torsion_gen	text
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  zk	jsonb

  
  {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 7, -6, -1, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 13676, 'disc_rad': 6838, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[4, 1]]], [5, [[3, 1], [1, 1]]], [7, [[4, 1]]], [11, [[3, 1], [1, 1]]], [13, [0]], [17, [[3, 1], [1, 1]]], [19, [[4, 1]]], [23, [[4, 1]]], [29, [[4, 1]]], [31, [[2, 2]]], [37, [[2, 1], [1, 2]]], [41, [[3, 1], [1, 1]]], [43, [[2, 1], [1, 2]]], [47, [[2, 1], [1, 2]]], [53, [[4, 1]]], [59, [[4, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [24, 12, 12], 'galois_label': '4T5', 'galt': 5, 'grd': 116.94443124834974, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.13676.1', 'local_algs': ['2.2.2.1', '2.2.0.1', '13.2.1.2', '13.2.0.1', 'm263.1.2.0', 'm263.2.1.1'], 'monogenic': 1, 'num_ram': 3, 'r2': 0, 'ramps': [2, 13, 263], 'rd': 10.8140848549, 'regulator': {'__RealLiteral__': 0, 'data': '9.80390647748', 'prec': 44}, 'res': {'gal': ['669124,0,-13550816,0,91964461,0,-254207090,0,283311679,0,-161599068,0,53093689,0,-10642954,0,1329817,0,-102544,0,4647,0,-110,0,1'], 'sib': ['-74,-134,937,416,-3693,2666,933,-1258,71,160,-23,-6,1', '-8,-25,13,23,-9,-3,1', '103288,303680,-143824,-289908,72772,80180,-16235,-8518,1543,380,-65,-6,1', '2395873,239316,-298520,-20380,11774,524,-184,-4,1', '5028,9308,2989,-298,-142,-2,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{3} + a^{2} - 4 a - 1 \\)', '\\( a^{2} - 2 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}